Discrete spectrum of quantum Hall effect Hamiltonians I. Monotone edge potentials
Discrete spectrum of quantum Hall effect Hamiltonians I. Monotone edge potentials
We consider the unperturbed operator H_0 : = (-i \nabla - A)^2 + W , self-adjoint in L^2(\mathbb{R}^2) . Here A is a magnetic potential which generates a constant magnetic field b>0 , and the edge potential W is a non-decreasing non constant bounded function depending only on the first …